{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T14:45:17Z","timestamp":1740149117378,"version":"3.37.3"},"reference-count":43,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2022,5,11]],"date-time":"2022-05-11T00:00:00Z","timestamp":1652227200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,5,11]],"date-time":"2022-05-11T00:00:00Z","timestamp":1652227200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Earth Sci Inform"],"published-print":{"date-parts":[[2022,9]]},"DOI":"10.1007\/s12145-022-00812-9","type":"journal-article","created":{"date-parts":[[2022,5,11]],"date-time":"2022-05-11T19:25:15Z","timestamp":1652297115000},"page":"1597-1606","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Construction and application of integrated entropy model for measuring precipitation complexity"],"prefix":"10.1007","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9659-682X","authenticated-orcid":false,"given":"Xi","family":"Yang","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,5,11]]},"reference":[{"key":"812_CR1","doi-asserted-by":"crossref","unstructured":"Alves AS, Cezar RS, Rosso OA, Stosic B, Stosic R (2021) Complexity entropy-analysis of monthly rainfall time series in northeastern Brazil. Chaos, Solitons & Fractals, 143","DOI":"10.1016\/j.chaos.2020.110623"},{"issue":"17","key":"812_CR2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.88.174102","volume":"88","author":"C Bandt","year":"2002","unstructured":"Bandt C, Pompe B (2002) Permutation Entropy: A Natural Complexity Measure for Time Series. Phys Rev Lett 88(17):174102","journal-title":"Phys Rev Lett"},{"issue":"3","key":"812_CR3","doi-asserted-by":"publisher","first-page":"312","DOI":"10.1175\/JHM501.1","volume":"7","author":"MG Bosilovich","year":"2006","unstructured":"Bosilovich MG, Chern JD (2006) Simulation of Water Sources and Precipitation Recycling for the MacKenzie, Mississippi, and Amazon River Basins. J Hydrometeorol 7(3):312","journal-title":"J Hydrometeorol"},{"key":"812_CR4","doi-asserted-by":"publisher","first-page":"241","DOI":"10.3390\/e13010241","volume":"13","author":"CM Chou","year":"2011","unstructured":"Chou CM (2011) Wavelet-based multi-scale entropy analysis of complex rainfall time series. Entropy 13:241\u2013253","journal-title":"Entropy"},{"issue":"2","key":"812_CR5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.71.021906","volume":"71","author":"M Costa","year":"2005","unstructured":"Costa M, Goldberger AL, Feng CK (2005) Multiscale entropy analysis of biological signals. Phys Rev E 71(2):021906","journal-title":"Phys Rev E"},{"key":"812_CR6","unstructured":"Deng HJ, Guo B, Cao YQ, Chen ZS, Zhang YQ, Cheng XW, Gao L, Cheng Y, Liu MB (2020) Spatial and temporal patterns of daytime and nighttime precipitation in China during 1961\u20132016. Geographical research 9: 2415\u20132426 (in Chinese with English\nabstract)"},{"key":"812_CR7","doi-asserted-by":"publisher","first-page":"5069","DOI":"10.5194\/hess-22-5069-2018","volume":"22","author":"C Di","year":"2018","unstructured":"Di C, Wang T, Yang X, Li S (2018) Technical note: An improved Grassberger-Procaccia algorithm for analysis of climate system complexity. Hydrol Earth Syst Sci 22:5069\u20135079","journal-title":"Hydrol Earth Syst Sci"},{"key":"812_CR8","first-page":"2351","volume":"24","author":"JJ Gou","year":"2020","unstructured":"Gou JJ, Miao CY, Han JY (2020) Spatiotemporal changes in temperature and precipitation over the Songhua River Basin between 1961 and 2014. Glob Ecol Conserv 24:2351\u20139894","journal-title":"Glob Ecol Conserv"},{"issue":"2021","key":"812_CR9","doi-asserted-by":"publisher","first-page":"1159","DOI":"10.1126\/science.aba3996","volume":"371","author":"L Gudmundsson","year":"2021","unstructured":"Gudmundsson L, Boulange J, Do HX, Gosling SN, Grillakis MG, Koutroulis AG, Leonard M, Liu JG, Schmied HM, Papadimitriou L, Pokhrel Y, Seneviratne SI, Satoh Y, Thiery W, Westra S, Zhang XB, Zhao F (2021) Globally observed trends in mean and extreme river flow attributed to climate change. Science 371(2021):1159\u20131162","journal-title":"Science"},{"key":"812_CR10","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781107415379","volume-title":"Climate change 2014: impacts, adaptation and vulnerability: part a: global and sectoral aspects","author":"IPCC","year":"2014","unstructured":"IPCC (2014) Climate change 2014: impacts, adaptation and vulnerability: part a: global and sectoral aspects. Cambridge University Press, Cambridge. https:\/\/doi.org\/10.1017\/CBO9781107415379"},{"issue":"8","key":"812_CR11","doi-asserted-by":"publisher","first-page":"2213","DOI":"10.1007\/s00477-014-1012-2","volume":"29","author":"X Jia","year":"2015","unstructured":"Jia X, Cai Y, Li C, Wang X, Sun L (2015) An improved method for integrated water security assessment in the yellow river basin, China. Stoch Env Res Risk Assess 29(8):2213\u20132227","journal-title":"Stoch Env Res Risk Assess"},{"key":"812_CR12","first-page":"22","volume":"04","author":"JL Jin","year":"2007","unstructured":"Jin JL, Hong TQ, Wang WS (2007) Entropy and FAHP based fuzzy comprehensive evaluation model of water resources sustaining utilization. J Hydroelectric Eng 04:22\u201328","journal-title":"J Hydroelectric Eng"},{"issue":"7","key":"812_CR13","doi-asserted-by":"publisher","first-page":"907","DOI":"10.1007\/s00477-008-0268-9","volume":"223","author":"HS Kim","year":"2009","unstructured":"Kim HS, Lee KH, Kyoung MS, Lee ET (2009) Measuring nonlinear dependence in hydrologic time series. Stoch Env Res Risk Assess 223(7):907\u2013916","journal-title":"Stoch Env Res Risk Assess"},{"key":"812_CR14","doi-asserted-by":"publisher","first-page":"2531","DOI":"10.1080\/02626667.2017.1390313","volume":"62","author":"D Liu","year":"2017","unstructured":"Liu D, Fu Q, Zhao D, Li TX (2017) Complexity measure of regional seasonal precipitation series based on wavelet entropy. Hydrol Sci J 62:2531\u20132540","journal-title":"Hydrol Sci J"},{"key":"812_CR15","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1016\/S0019-9958(72)90199-4","volume":"20","author":"AD Luca","year":"1972","unstructured":"Luca AD, Termini S (1972) A definition of a Nonprobabilistic entropy in the setting of fuzzy sets theory. Inf Control 20:301\u2013312","journal-title":"Inf Control"},{"key":"812_CR16","doi-asserted-by":"publisher","first-page":"96","DOI":"10.1016\/j.physa.2013.09.062","volume":"395","author":"DT Mihailovic","year":"2014","unstructured":"Mihailovic DT, Nikolic-Dorib E, Dreskovicc N, Mimic G (2014) Complexity analysis of the turbulent environmental fluid flow time series. Physica A Statal Mechanics & Its Applications 395:96\u2013104","journal-title":"Physica A Statal Mechanics & Its Applications"},{"issue":"9","key":"812_CR17","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11269-017-1649-y","volume":"31","author":"V Nourani","year":"2017","unstructured":"Nourani V, Sattari MT, Molajou A (2017) Threshold-based hybrid data mining method for long-term maximum precipitation forecasting. Water Resour Manage 31(9):1\u201314","journal-title":"Water Resour Manage"},{"key":"812_CR18","first-page":"1","volume":"16","author":"IG Pechlivanidis","year":"2015","unstructured":"Pechlivanidis IG, Jackson B, Mcmillan H, Gupta HV (2015) Robust informational entropy-based descriptors of flow in catchment hydrology. Hydrol Sci J 16:1\u201318","journal-title":"Hydrol Sci J"},{"issue":"6","key":"812_CR19","doi-asserted-by":"publisher","first-page":"2297","DOI":"10.1073\/pnas.88.6.2297","volume":"88","author":"SM Pincus","year":"1991","unstructured":"Pincus SM (1991) Approximate entropy as a measure of system complexity. Proc Natl Acad Sci 88(6):2297\u20132301","journal-title":"Proc Natl Acad Sci"},{"issue":"6","key":"812_CR20","doi-asserted-by":"publisher","first-page":"H2039","DOI":"10.1152\/ajpheart.2000.278.6.H2039","volume":"278","author":"JS Richman","year":"2000","unstructured":"Richman JS, Randall MJ (2000) Physiological time-series analysis using approximate entropy and sample entropy. Am J Physiol Heart Circ Physiol 278(6):H2039","journal-title":"Am J Physiol Heart Circ Physiol"},{"issue":"5411","key":"812_CR21","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1126\/science.284.5411.105","volume":"284","author":"D Rind","year":"1999","unstructured":"Rind D (1999) Complexity and Climate. Science 284(5411):105\u2013107","journal-title":"Science"},{"issue":"1","key":"812_CR22","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1016\/S0165-0270(00)00356-3","volume":"105","author":"OA Rosso","year":"2001","unstructured":"Rosso OA, Blanco S, Yordanova J, Kolev V, Figliola A, Sch\u00fcrmann M, Basar E (2001) Wavelet entropy: a new tool for analysis of short duration brain electrical signals. J Neuro Methods 105(1):65\u201375","journal-title":"J Neuro Methods"},{"issue":"5","key":"812_CR23","doi-asserted-by":"publisher","first-page":"1205","DOI":"10.1007\/s00477-017-1430-z","volume":"32","author":"K Roushangar","year":"2018","unstructured":"Roushangar K, Alizadeh F (2018) Identifying complexity of annual precipitation variation in Iran during 1960\u20132010 based on information theory and discrete wavelet transform. Stoch Env Res Risk Assess 32(5):1205\u20131223","journal-title":"Stoch Env Res Risk Assess"},{"issue":"2018","key":"812_CR24","doi-asserted-by":"publisher","first-page":"176","DOI":"10.1016\/j.envres.2018.04.017","volume":"165","author":"K Roushangar","year":"2018","unstructured":"Roushangar K, Alizadeh F, Adamowski J (2018) Exploring the effects of climatic variables on monthly precipitation variation using a continuous wavelet-based multiscale entropy approach. Environ Res 165(2018):176\u2013192","journal-title":"Environ Res"},{"key":"812_CR25","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1016\/B978-0-08-032599-6.50008-8","volume-title":"Analytical planning","author":"TL Saaty","year":"1985","unstructured":"Saaty TL, Kearns KP (1985) The analytic hierarchy process. In: Saaty TL, Kearns KP (eds) Analytical planning. Elsevier, Amsterdam, pp 19\u201362"},{"issue":"3","key":"812_CR26","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1002\/j.1538-7305.1948.tb01338.x","volume":"27","author":"CE Shannon","year":"1948","unstructured":"Shannon CE (1948) A mathematical theory of communication. Bell Syst Tech J 27(3):379\u2013423","journal-title":"Bell Syst Tech J"},{"key":"812_CR27","doi-asserted-by":"publisher","first-page":"6207","DOI":"10.5194\/acp-20-6207-2020","volume":"20","author":"ND Silva","year":"2020","unstructured":"Silva ND, Mailler S, Drobinski P (2020) Aerosol indirect effects on the temperature-precipitation scaling. Atmos Chem Phys 20:6207\u20136223. https:\/\/doi.org\/10.5194\/acp-20-6207-2020","journal-title":"Atmos Chem Phys"},{"key":"812_CR28","doi-asserted-by":"publisher","first-page":"587","DOI":"10.1002\/(SICI)1099-1085(199705)11:6<587::AID-HYP479>3.0.CO;2-P","volume":"11","author":"VP Singh","year":"1997","unstructured":"Singh VP (1997) The use of entropy in hydrology and water resources. Hydrological Processes 11:587\u2013626","journal-title":"Hydrological Processes"},{"key":"812_CR29","doi-asserted-by":"publisher","first-page":"1136","DOI":"10.1016\/j.jhydrol.2016.07.034","volume":"540","author":"T Stosic","year":"2016","unstructured":"Stosic T, Telesca L, Ferreira DVS, Stosic B (2016) Investigating anthropically induced effects in streamflow dynamics by using permutation entropy and statistical complexity analysis: a case study. J Hydrol 540:1136\u20131145","journal-title":"J Hydrol"},{"key":"812_CR30","doi-asserted-by":"publisher","first-page":"817","DOI":"10.1007\/s00704-021-03861-0","volume":"147","author":"S Swain","year":"2021","unstructured":"Swain S, Mishra SK, Pandey A, Dayal D (2021) Spatiotemporal assessment of precipitation variability, seasonality, and extreme characteristics over a Himalayan catchment. Theor Appl Climatol 147:817\u2013833","journal-title":"Theor Appl Climatol"},{"key":"812_CR31","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1016\/j.chaos.2015.09.002","volume":"81","author":"L Tang","year":"2015","unstructured":"Tang L, Lv HL, Yang FM, Yu L (2015) Complexity testing techniques for time series data: a comprehensive literature review. Chaos Solit Fractals 81:117\u2013135. https:\/\/doi.org\/10.1016\/j.chaos.2015.09.002","journal-title":"Chaos Solit Fractals"},{"issue":"1","key":"812_CR32","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1007\/s00477-018-1615-0","volume":"33","author":"H Tongal","year":"2019","unstructured":"Tongal H, Sivakumar B (2019) Entropy analysis for spatiotemporal variability of seasonal, low, and high streamflows. Stoch Env Res Risk Assess 33(1):303\u2013320","journal-title":"Stoch Env Res Risk Assess"},{"key":"812_CR33","first-page":"0013","volume":"180","author":"YK Wang","year":"2019","unstructured":"Wang YK, Tao YW, Sheng D, Zhou YT, Wang D, Shi XR, Wu JC, Ma XR (2019) Quantifying the change in streamflow complexity in the Yangtze river. Environ Res 180:0013\u20139351","journal-title":"Environ Res"},{"key":"812_CR34","first-page":"1","volume":"1","author":"SFA Xavier","year":"2018","unstructured":"Xavier SFA, Jale JDS, Stosic T, Santos CACD, Singh VP (2018) An application of sample entropy to precipitation in Para\u00edba State\u00a0Brazil. Theor Appl Climatol 1:1\u201312","journal-title":"Theor Appl Climatol"},{"key":"812_CR35","doi-asserted-by":"publisher","first-page":"429","DOI":"10.1007\/s00704-018-2496-3","volume":"136","author":"SFA Xavier","year":"2019","unstructured":"Xavier SFA, Jale JS, Stosic T, Santos CAC, Singh VP (2019) An application of sample entropy to precipitation in para\u00edba state, Brazil. Theor Appl Climatol 136:429\u2013440","journal-title":"Theor Appl Climatol"},{"key":"812_CR36","doi-asserted-by":"publisher","first-page":"2871","DOI":"10.1016\/j.asoc.2010.11.020","volume":"11","author":"HB Xie","year":"2011","unstructured":"Xie HB, Chen WT, He WX, Liu H (2011) Complexity analysis of the biomedical signal using fuzzy entropy measurement. Appl Soft Comput 11:2871\u20132879","journal-title":"Appl Soft Comput"},{"key":"812_CR37","doi-asserted-by":"publisher","unstructured":"Yang X, Chen XW (2020) Using a combined evaluation method to assess water resources sustainable utilization in Fujian Province, China. Environment, Development and Sustainability. https:\/\/doi.org\/10.1007\/s10668-020-00939-z.","DOI":"10.1007\/s10668-020-00939-z"},{"key":"812_CR38","doi-asserted-by":"publisher","unstructured":"Yildiz N, Kahraman, C (2020) Evaluation of social sustainable development factors using buckley's fuzzy AHP based on Z-numbers. Intelligent and fuzzy techniques in big data analytics and decision making. INFUS 2019. Advances in intelligent systems and computing, vol 1029. Springer, Cham. https:\/\/doi.org\/10.1007\/978-3-030-23756-1_92","DOI":"10.1007\/978-3-030-23756-1_92"},{"issue":"7","key":"812_CR39","doi-asserted-by":"publisher","first-page":"1697","DOI":"10.1007\/s00477-016-1314-7","volume":"31","author":"Q Zhang","year":"2017","unstructured":"Zhang Q, Liang XJ, Fang Z, Xiao CL (2017) Complexity analysis of precipitation using the lempel-ziv algorithm and a multi-scaling approach: a case study in Jilin province, China. Stoch Env Res Risk Assess 31(7):1697\u20131707","journal-title":"Stoch Env Res Risk Assess"},{"key":"812_CR40","doi-asserted-by":"publisher","first-page":"88","DOI":"10.1016\/j.atmosres.2019.02.002","volume":"221","author":"LL Zhang","year":"2019","unstructured":"Zhang LL, Li H, Liu D, Fu Q, Li M, Abrar FM, Imran KM, Li TX (2019) Identification and application of the most suitable entropy model for precipitation complexity measurement. Atmos Res 221:88\u201397","journal-title":"Atmos Res"},{"key":"812_CR41","first-page":"1","volume":"41","author":"DS Zhao","year":"2020","unstructured":"Zhao DS, Gao X, Wu SH (2020) Non-uniform variations of precipitation and temperature across china over the period 1960\u20132015. Int J Climatol 41:1\u201312","journal-title":"Int J Climatol"},{"key":"812_CR42","unstructured":"Zhou XY, Lei WJ (2019) Spatial patterns of sample entropy based on daily precipitation time series in China and their implications for land surface hydrological interactions. Int J Climatol 39: 1-17"},{"issue":"21","key":"812_CR43","doi-asserted-by":"publisher","first-page":"3253","DOI":"10.1002\/hyp.8406","volume":"26","author":"Y Zhou","year":"2012","unstructured":"Zhou Y, Zhang Q, Li K, Chen XH (2012) Hydrological effects of water reservoirs on hydrological processes in the East River (China) basin: complexity evaluations based on the multi-scale entropy analysis. Hydrol Process 26(21):3253\u20133262","journal-title":"Hydrol Process"}],"container-title":["Earth Science Informatics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12145-022-00812-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12145-022-00812-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12145-022-00812-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,8,20]],"date-time":"2022-08-20T10:15:02Z","timestamp":1660990502000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12145-022-00812-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,5,11]]},"references-count":43,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2022,9]]}},"alternative-id":["812"],"URL":"https:\/\/doi.org\/10.1007\/s12145-022-00812-9","relation":{},"ISSN":["1865-0473","1865-0481"],"issn-type":[{"type":"print","value":"1865-0473"},{"type":"electronic","value":"1865-0481"}],"subject":[],"published":{"date-parts":[[2022,5,11]]},"assertion":[{"value":"29 December 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 April 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 May 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The author declares no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}